Find the number of prime factors in the product of 25¹² × 10⁷ × 14⁷ | StudyFlash MCQ

Maths Number System

Find the number of prime factors in the product of 25¹² × 10⁷ × 14⁷

25¹² × 10⁷ × 14⁷ के गुणनफल में अभाज्य गुणनखंडों की संख्या ज्ञात कीजिए

A

(a) 50

B

(b) 68

C

(c) 54

D

(d) 52

Correct Answer: Option D

Explanation / व्याख्या:

25¹²=5²⁴. 10⁷=2⁷×5⁷. 14⁷=2⁷×7⁷. Total=2¹⁴×5³¹×7⁷. Prime factors=14+31+7=52.

2¹⁴×5³¹×7⁷। अभाज्य गुणनखंड=14+31+7=52।

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